Answer:
= 6n - 4
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
8 - 2 = 14 - 8 = 6
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
= 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
Thus the formula representing the sequence is
= 6n - 4
We are asked in the problem to determine the value of x in the equation <span>4x² + 2x = 7 using completing the square method. in this case,
</span><span>4x² + 2x = 7
x2 + 0.5 = 1.75
(x + 0.25)^2 - 0.0625 = 1.75
</span>(x + 0.25)^2 = 1.8125
<span>x+0.25=1.3462
</span>x1 =1.0963
x2 =-1.5962
Answer:
WHY IS THIS IN CAPS
Step-by-step explanation:
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Answer:
Option C) y = -2x - 6
Step-by-step explanation:
<u><em>The correct question is</em></u>
In the xy coordinate plane the slope of line p is 1/2 and its x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept.
step 1
Find the slope of a line that is perpendicular to p
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

we have
----> slope of line p
substitute

----> slope of the line perpendicular to p
step 2
Find the equation of the line that is perpendicular to p and intersects p at is x-intercept
we have


Find the equation of the line in point slope form

substitute


Answer:
499/36
Step-by-step explanation:
If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36